I saw this recced, and yes, I think you are right, but equally I think it applies to all aspects of life. Look at the hate directed toward Hilary Clinton for behaviours that in a man are viewed as admirable. Female directors are overlooked and criticised terribly, especially when they are a bit perfectionist, yet the bullying types, like Oliver Stone, are admired and get the nominations (not that he isn't a good director, I just plucked him as an example, there are lots of them! )

It's women who collude against themselves as well, we expect women are expected to behave in certain ways, and we let men get away with everything. We also judge women's looks all the time, in a way that men never get judged. The Doctor is obnoxious and rude, and rather horrid to those around him, but it's Rose who gets the crap.